My research is in algebraic number theory, specifically the explicit construction of units in number fields and points on abelian varieties. There are many classical conjectures regarding the relationships between these elements and special values of L-functions, such as the conjectures of Stark, Birch-Swinnerton-Dyer, and Beilinson. In my research I have made progress on these conjectures as well as stated and studied various generalizations and refinements that go beyond the world of L-functions. Much of my work uses the theory of modular forms and their associated Galois representations in order to shed light on these problems.
Bertolini, M, Castella, F, Darmon, H, Dasgupta, S, Prasanna, K, and Rotger, V. "P-adic L-functions and Euler systems: A tale in two trilogies." Automorphic Forms and Galois Representations: volume1. January 1, 2014. 52-101. Full Text
Dasgupta, S, and Spieß, M. "Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units." Journal of the European Mathematical Society 20.11 (January 1, 2018): 2643-2683. Full Text
Dasgupta, S, and Spieß, M. "The Eisenstein cocycle and Gross’s tower of fields conjecture." Annales Mathématiques Du Québec 40.2 (August 2016): 355-376. Full Text
Charollois, P, Dasgupta, S, and Greenberg, M. "Integral Eisenstein cocycles on GL<inf>n</inf>, II: Shintani's method." Commentarii Mathematici Helvetici 90.2 (January 1, 2015): 435-477. Full Text
Dasgupta, S. "A conjectural product formula for Brumer–Stark units over real quadratic fields." Journal of Number Theory 133.3 (March 2013): 915-925. Full Text
Dasgupta, S, Darmon, H, and Pollack, R. "Hilbert modular forms and the Gross-Stark conjecture." Annals of Mathematics 174.1 (July 1, 2011): 439-484. Full Text